Approximate formulas for the microbending loss in single-mode fibers

R. Yang; C. Wu; G. L. Yip

doi:10.1364/OL.12.000428

Optics Letters
Vol. 12,
Issue 6,
pp. 428-430
(1987)
•https://doi.org/10.1364/OL.12.000428

Approximate formulas for the microbending loss in single-mode fibers

R. Yang, C. Wu, and G. L. Yip

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R. Yang, C. Wu, and G. L. Yip, "Approximate formulas for the microbending loss in single-mode fibers," Opt. Lett. 12, 428-430 (1987)

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Abstract

Some approximate formulas for calculating the microbending loss for single-mode fibers are given. The formulas are rather simple, yield good approximate values, and hence can be used to evaluate the microbending loss in fiber design.

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Wavelength λ (μm)	Spot Size (μm)			$\begin{array}{c} Δ = \| \frac{W - \overset{̅}{W}}{W} \| \\ (%) \end{array}$	$\begin{array}{c} Δ^{'} = \| \frac{W - W^{'}}{W} \| \\ (%) \end{array}$

	Exact W(p)	Approx. $\overset{̅}{W} (p)$	Ref. 7 W′
1.25	4.758	4.768	4.922	0.21	3.43
1.30	4.948	4.980	5.110	0.64	3.28
1.35	5.158	5.205	5.315	0.90	3.04
1.40	5.390	5.445	5.537	1.02	2.73
1.45	5.645	5.704	5.777	1.05	2.33
1.50	5.923	5.984	6.034	1.02	1.87
1.55	6.227	6.285	6.311	0.93	1.35
1.60	6.556	6.610	6.608	0.82	0.78
1.65	6.913	6.961	6.926	0.70	0.20
1.70	7.298	7.339	7.268	0.56	0.40

Wavelength λ (μm)	Spot Size (μm)			$\begin{matrix} Δ = \| \frac{W - \overset{̅}{W}}{W} \| \\ (%) \end{matrix}$	$\begin{matrix} Δ^{'} = \| \frac{W - W^{'}}{W} \| \\ (%) \end{matrix}$

	Exact W(p)	Approx. $\overset{̅}{W} (p)$	Ref. 7 W′
1.25	4.320	4.387	4.582	1.55	6.08
1.30	4.411	4.509	4.653	2.21	5.48
1.35	4.533	4.655	4.737	2.69	4.51
1.40	4.700	4.833	4.838	2.87	2.99
1.45	4.921	5.052	4.959	2.67	0.78
1.50	5.211	5.321	5.104	2.10	2.06
1.55	5.573	5.649	5.278	1.36	5.30
1.60	6.006	6.043	5.486	0.62	8.66
1.65	6.513	6.514	5.735	0.02	11.95
1.70	7.101	7.071	6.033	0.42	15.03

Wavelength λ (μm)	Spot Size (μm)			$\begin{array}{c} Δ = \| \frac{W - \overset{̅}{W}}{W} \| \\ (%) \end{array}$	$\begin{array}{c} Δ^{'} = \| \frac{W - W^{'}}{W} \| \\ (%) \end{array}$

	Exact W(p)	Approx. $\overset{̅}{W} (p)$	Ref. 7 W′
1.25	4.758	4.768	4.922	0.21	3.43
1.30	4.948	4.980	5.110	0.64	3.28
1.35	5.158	5.205	5.315	0.90	3.04
1.40	5.390	5.445	5.537	1.02	2.73
1.45	5.645	5.704	5.777	1.05	2.33
1.50	5.923	5.984	6.034	1.02	1.87
1.55	6.227	6.285	6.311	0.93	1.35
1.60	6.556	6.610	6.608	0.82	0.78
1.65	6.913	6.961	6.926	0.70	0.20
1.70	7.298	7.339	7.268	0.56	0.40

Wavelength λ (μm)	Spot Size (μm)			$\begin{matrix} Δ = \| \frac{W - \overset{̅}{W}}{W} \| \\ (%) \end{matrix}$	$\begin{matrix} Δ^{'} = \| \frac{W - W^{'}}{W} \| \\ (%) \end{matrix}$

	Exact W(p)	Approx. $\overset{̅}{W} (p)$	Ref. 7 W′
1.25	4.320	4.387	4.582	1.55	6.08
1.30	4.411	4.509	4.653	2.21	5.48
1.35	4.533	4.655	4.737	2.69	4.51
1.40	4.700	4.833	4.838	2.87	2.99
1.45	4.921	5.052	4.959	2.67	0.78
1.50	5.211	5.321	5.104	2.10	2.06
1.55	5.573	5.649	5.278	1.36	5.30
1.60	6.006	6.043	5.486	0.62	8.66
1.65	6.513	6.514	5.735	0.02	11.95
1.70	7.101	7.071	6.033	0.42	15.03

Abstract

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Equations (16)

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